East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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REMARKS ON CURVES OF MAXIMAL REGULARITY IN ℙ3

  • Lee, Wanseok (Pukyong National University, Department of applied Mathematics)
  • Received : 2020.03.18
  • Accepted : 2020.04.16
  • Published : 2020.05.31
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Abstract

For a nondegenerate projective curve C ⊂ ℙr of degree d, it was shown that the Castelnuovo-Mumford regularity reg(C) of C is at most d - r + 2. And the curves of maximal regularity which attain the maximally possible value d - r + 2 are completely classified. In this short note, we first collect several known results about curves of maximal regularity. We provide a new proof and some partial results. Finally we suggest some interesting questions.

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Acknowledgement

This work was supported by a Research Grant of Pukyong National University(2019).

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